Torsion algebraic cycles and étale cobordism |
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Authors: | Gereon Quick |
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Institution: | Department of Mathematics, Harvard University, Cambridge, MA 02138, United States |
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Abstract: | We prove that the classical integral cycle class map from algebraic cycles to étale cohomology factors through a quotient of ?-adic étale cobordism over an algebraically closed field of positive characteristic. This shows that there is a strong topological obstruction for cohomology classes to be algebraic and that examples of Atiyah, Hirzebruch and Totaro also work in positive characteristic. |
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Keywords: | Algebraic cycles Griffiths group É tale cobordism É tale homotopy |
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